## math_crasher 3 years ago Are the two triangles similar? If so, how do you know? Figure is below

1. math_crasher

2. henpen

If all three sides are in the same ratio with the other triangle's sides, then it is similar.

3. henpen

i.e.:$\frac{12}{8}=\frac{7.5}{5}$

4. math_crasher

What theorem or postulate you think it would be?

5. henpen

The one that says 'If all of triangle A's sides are in the same proportion to each of the matching sides of triangle B, A and B are similar' You could probably derive that from more fundamental principals.

6. math_crasher

Did you see the figure above?

7. henpen

Yes. 0M=1.5CA, ON=1.5CB, and MN=1.5AB

8. math_crasher

Ah i see so if the triangle has to be proportionate to the other one they have to be equal on all sides?

9. henpen

Yes, as therefore all the angles are forced into being the same.

10. math_crasher

Ah never mind I get it

11. math_crasher

So would you say it is SSS since its measured by its sides?

12. henpen

Yes.

13. math_crasher

Thank you so much